I want to install the HAAst on my AsteriskNOW FreePBX environment at home. I'm reading the pdf about the detailed installation and I stopped in the page about "Install prerequisite packages". But I cannot install the packages qt5-qtbase package and qt5-qtbase-mysql because the OS needs of the library's below:

From your ldd output it appears that you are missing the Qt5 package(s). It's not clear why you cannot install the packages qt5-qtbase and qt5-qtbase-mysql packages. The ldd output you posted just says qt5 packages are missing.

I have a feeling there is something else you are not telling. Why are you talking about glibc? (The libc.so is installed and running fine according to that ldd output).

Are you also getting a GLIBC error? In that case you probably mixing packages / programs designed for different versions of the operating system.

Thanks for answer... Well, sorry for my confusion, but when i try install a package qt5-base, a error is displayed:

[root@ASTERISK01 src]# rpm -i qt5-qtbase-5.9.2-3.el7.x86_64.rpm
warning: qt5-qtbase-5.9.2-3.el7.x86_64.rpm: Header V3 RSA/SHA256 Signature, key ID f4a80eb5: NOKEY
error: Failed dependencies:
libEGL.so.1()(64bit) is needed by qt5-qtbase-5.9.2-3.el7.x86_64
libGL.so.1()(64bit) is needed by qt5-qtbase-5.9.2-3.el7.x86_64
libQt5Gui.so.5()(64bit) is needed by qt5-qtbase-5.9.2-3.el7.x86_64
libQt5Gui.so.5(Qt_5)(64bit) is needed by qt5-qtbase-5.9.2-3.el7.x86_64
libQt5Gui.so.5(Qt_5_PRIVATE_API)(64bit) is needed by qt5-qtbase-5.9.2-3.el7.x86_64
libc.so.6(GLIBC_2.14)(64bit) is needed by qt5-qtbase-5.9.2-3.el7.x86_64
libc.so.6(GLIBC_2.17)(64bit) is needed by qt5-qtbase-5.9.2-3.el7.x86_64
libcrypto.so.10(OPENSSL_1.0.2)(64bit) is needed by qt5-qtbase-5.9.2-3.el7.x86_64
libdbus-1.so.3(LIBDBUS_1_3)(64bit) is needed by qt5-qtbase-5.9.2-3.el7.x86_64
libicudata.so.50()(64bit) is needed by qt5-qtbase-5.9.2-3.el7.x86_64
libicui18n.so.50()(64bit) is needed by qt5-qtbase-5.9.2-3.el7.x86_64
libicuuc.so.50()(64bit) is needed by qt5-qtbase-5.9.2-3.el7.x86_64
libpcre2-16.so.0()(64bit) is needed by qt5-qtbase-5.9.2-3.el7.x86_64
libsystemd.so.0()(64bit) is needed by qt5-qtbase-5.9.2-3.el7.x86_64
libsystemd.so.0(LIBSYSTEMD_209)(64bit) is needed by qt5-qtbase-5.9.2-3.el7.x86_64
libudev.so.1()(64bit) is needed by qt5-qtbase-5.9.2-3.el7.x86_64
libudev.so.1(LIBUDEV_183)(64bit) is needed by qt5-qtbase-5.9.2-3.el7.x86_64
qt5-qtbase-common = 5.9.2-3.el7 is needed by qt5-qtbase-5.9.2-3.el7.x86_64

Instead of manually picking packages from various repo's on the internet you may wish to add a comprehensive repo like EPEL which has all of these packages available. (Assuming your OS distro is compatible)